• Valthorn@feddit.nuEnglish
    1·
    2 years ago

    x=.9999…

    10x=9.9999…

    Subtract x from both sides

    9x=9

    x=1

    There it is, folks.

    • Blum0108@lemmy.worldEnglish
      1·
      2 years ago

      I was taught that if 0.9999… didn’t equal 1 there would have to be a number that exists between the two. Since there isn’t, then 0.9999…=1

    • Shampiss@sh.itjust.worksEnglish
      0·
      2 years ago

      Divide 1 by 3: 1÷3=0.3333…

      Multiply the result by 3 reverting the operation: 0.3333… x 3 = 0.9999… or just 1

      0.9999… = 1

      • ColeSloth@discuss.tchncs.deEnglish
        1·
        2 years ago

        You’re just rounding up an irrational number. You have a non terminating, non repeating number, that will go on forever, because it can never actually get up to its whole value.